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E:\Working\Focus_Learning\Math_Genius_4_(25-10-2023)\Open_Files\Chap-04
\\December 8, 2023 9:53 AM Bharat Arora P-6 Reader _________________________ Date: ___________________74
Step 2: Subtract 75 from 89 to get 14 as the remainder.
Bring down 7 to make it 147.
Step 3: Divide 147 by 15.
15 goes into 147 by 9 times as 15 × 9 = 135 < 147
Write 9 at the tens place of the quotient and 135 below 147.
Step 4: Subtract 135 from 147 to get 12 as the remainder.
Bring down 6 to make it 126. Divisor
Step 5: Divide 126 by 15. 15 8976 598 Q
15 goes into 126 by 8 times as – 75 The first
leading
147
15 × 8 = 120 < 126 – 135 partial
dividend.
Write 8 at the ones place of the quotient – 126
120
and 120 below 126. 6 R
Step 6: Subtract 120 from 126 to get 6 as the
remainder.
Checking: Quotient × Divisor + Remainder = 15 × 598 + 6 = 8976 = Dividend
example 2: Divide 88765 by 36 and check your division.
Solution:
36 88765 2465
88 is the leading first partial dividend.
72 36 × 2 = 72 72 is the maximum possible
product < 88.
167 Subtract: 88 – 72 = 16 and bring down 7.
144 36 × 4 = 144 144 is the maximum possible
236 Subtract: 167 – 144 = 23 and bring down 6. product < 167.
216 36 × 6 = 216
205 Subtract: 236 – 216 = 20 and bring down 5. 216 is the maximum possible
180 36 × 5 = 180 product < 236.
25 R Subtract: 205 – 180 = 25 180 is the maximum possible
25 is the remainder. product < 205.
Thus, 88765 ÷ 36 gives Q = 2465, R = 25.
Checking: Divisor × Quotient + Remainder
= 2465 × 36 + 25 Note
Division by more than
= 88740 + 25 1-digit number requires
= 88765 = Dividend estimation of suitable
products through mental
Thus, the answer is correct. calculations or times table.
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